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Finding the Fourth Proportional to 497.25, 746.42 and 314.19

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Solution

The fourth proportional to 497.25, 746.42 and 314.19 is: 471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.25 : 746.42 = 314.19 : x
  2. Step 2: Convert to fraction form
    497.25/746.42 = 314.19/x
  3. Step 3: Cross multiply
    497.25x = 746.42 × 314.19
  4. Step 4: Simplify right side
    497.25x = 234,519.57
  5. Step 5: Solve for x
    x = 234,519.57/497.25
  6. Step 6: Final answer
    x = 471.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.